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Finding the Fourth Proportional to 13,287.86, 19,893.17 and 7,724.24

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Solution

The fourth proportional to 13,287.86, 19,893.17 and 7,724.24 is: 11,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.86 : 19,893.17 = 7,724.24 : x
  2. Step 2: Convert to fraction form
    13,287.86/19,893.17 = 7,724.24/x
  3. Step 3: Cross multiply
    13,287.86x = 19,893.17 × 7,724.24
  4. Step 4: Simplify right side
    13,287.86x = 153,659,539.29
  5. Step 5: Solve for x
    x = 153,659,539.29/13,287.86
  6. Step 6: Final answer
    x = 11,563.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.